Dick is right about the four listed units that had a similar looking configuration/appearance. But, none of these had a true walk-around to the bridge like Aaron Ward and Farenholt.
There were several "oddballs" in the Benson-Gleaves family. In some ways ... being oddball with these ships is normal.
DD-422 Mayo had a prototype walk-around installed on her bridge in October 1941 and retained it through the war.
Pearl Harbor Navy Yard seemed to have a track record of following the "legal" configuration as far as authorized armament goes, but not in the way intended by BuShips. They modified several destroyers in the Benson-Gleaves and Fletcher class to unique configurations in early 1943.
DD-483 Aaron Ward (Gleaves) had an elevated centerline 20-mm platform with a shelter-house below the platform. The platform also served as a walk-around for the navigation bridge.
DD-487 Lardner (Gleaves) also had an elevated centerline platform with a shelter-house below the platform, except the platform did not have a walk-around connection to the navigation bridge.
DD-491 Farenholt (Benson) same as Aaron Ward with a different style of platform that stepped down from the navigation bridge level.
Lardner (DD-487)
Pearl Harbor could have modified other units with "mock" walk-around bridges, I just have not found photos of them.
The units in DesDiv 27 (DD-602, 607, 608, and 619) were all modified to a similar configuration at Puget Sound Navy Yard in September 1943. The strange part is they were three Benson class units built at two different yards and one Square bridge Gleaves. They had an elevated centerline platform for a 20-mm gun over a smaller a shelter-house than the Pearl Harbor modified units, that was faired into BUT NOT open to the navigation bridge. Because Edwards was a Square bridge unit, she didn't have bridge wing 20-mm guns, so this pair of 20-mm guns were added amidships.
Frazier (DD-607) and Meade (DD-602)
Edwards (DD-619) and Gansevoort (DD-608)
Gansevoort (DD-608) show that there was no opening to the navigation bridge.